Question

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, then x and y are respectively _______________

Answer 1

Answer:

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Step-by-step explanation:

Let the vertices be A=(1,2),B=(4,y),C=(x,6) and D=(3,5).  

We know that the diagonals of a parallelogram bisect each other. So,the midpoint of AC is same as the mid point of BD.

Mid point of two points (x1,y1) and (x2,y2) is  calculated by the formula (x1+x2/2,y1+y2/2)

So, midpoint of AC= Mid point of BD

=>(1+x/2 , 2+6/2)=(4+3/2 , y+5/2)

=>(1+x/2 , 8/2)=(7/2/2 , y+5/2)

=>1+x=7 ; y+5=8

=>x=6 ; y=3